Your BTC is in KYC just because  people  could  known your balance,
That doesn't  mean you can't use a no KYC wallet(non custodial), using a NO KYC wallet can still  allow people  to know your balance but that's  if you are willing to connect your identity to it   and can be done in several ways you like even announcing  it .


If you're  type that swap, convert and a business  type you could just stick to the KYC.....